Exceptional polynomials of affine type (Q1368039)

The authors look at exceptional polynomials, which are polynomials over finite fields \(K\) that induce permutations of infinitely many finite extensions of \(K\). They show, among other things, that under a certain hypothesis the associated monodromy groups of exceptional polynomials are severly restricted when the polynomials have degree \(p^{2n}\), where \(p\) is prime and \(n\in \mathbb{N}\).